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VLD [36.1K]
3 years ago
9

What is the median of the data: 1, 2, 3, 3, 5, 6, 8

Mathematics
1 answer:
kobusy [5.1K]3 years ago
3 0

Median: The middle number in the data set when the

data set is written from least to greatest.

Since our data set is already written from least to greatest,

we can just look for the number that appears in the middle.

In this case, it would be 3.

Mode: The number that appears

most frequently in a data set.

Notice that the number 3 appears twice in the data set and no other

number appears more than once. So the mode is 3.

Range: The difference between the greatest number in

the data set and the least number in the data set.

Since the greatest number is 8 and the least number is 1,

the range of the data set will be 8 - 1 or 7.

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Simplify and leave in radical form. <br> 8√x^2 y^6
IrinaK [193]

Step-by-step explanation:

\sqrt[8]{ {x}^{2}  {y}^{6} }  \\  \\  = ( {x}^{2} {y}^{6}  )^{ \frac{1}{8} }  \\  \\  =  {x}^{2 \times \frac{1}{8}} {y}^{6\times \frac{1}{8}}  \\  \\  = x^{\frac{1}{4}} {y}^{3\times \frac{1}{4}}  \\  \\   = x^{\frac{1}{4}} {y}^{\frac{3}{4}}  \\  \\   =  \sqrt[4]{x {y}^{3} }  \\

4 0
3 years ago
A video game arcade offers a yearly membership with reduced rates for game play. A single membership costs $60 per year. Game to
Nastasia [14]

Let

x-------> the number of game tokens purchased for a member of the arcade

y-------> the function of the yearly cost in dollars

we know that

the function y of the yearly cost in dollars is equal to

y =\frac{1}{10} x +60

This is the equation of the line

using a graph tool

see the attached figure

<u>Statements</u>

<u>case a)</u> The slope of the function is $1.00

The statement is False

The slope of the function is equal to \frac{1}{10} \frac{\$}{tokens}

<u>case b)</u> The y-intercept of the function is $60

The statement is True

we know that

The y-intercept of the function is the value of the function when the value of x is equal to zero

so

for x=0

y =\frac{1}{10}*0 +60

y =\$60

<u>case c)</u> The function can be represented by the equation y =(1/10)x + 60

The statement is True

The equation of the function is equal to y =\frac{1}{10} x +60

<u>case d)</u> The domain is all real numbers

The statement is False

The value of x cannot be negative, therefore the domain is the interval

[0,∞)

<u>case e)</u> The range is {y| y ≥ 60}

The statement is True

The range of the function is the interval-------> [60,∞)

see the attached figure

8 0
3 years ago
Read 2 more answers
Im solving variables -4y + 7 = -10y+37
Ulleksa [173]

Answer:

5

Step-by-step explanation:

move the terms

collect like terms

calculate

divide both side

8 0
2 years ago
Read 2 more answers
The sum of two numbers is 21. the second number is six times the first number.
Tamiku [17]

Answer:

Therefore first number is 3 and second number is 18

Step-by-step explanation:

Sum of the two numbers is 21 and Second number is six times the first number

x+6x = 21

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x = 21/7

x = 3

substitute x value in 6x to find second number,

 = 6x

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8 0
3 years ago
The width of a rectangle is 7 inches less than its length. The area of the rectangle is 120 square inches. Solve for the dimensi
pav-90 [236]

Answer:

Length is 15 inches

Width is 8 inches

Step-by-step explanation:

A = L*W

the Width = L-7

120 = L (L-7)

120 = L^2-7L

subtract 120 from each side

0 = L^2 - 7L - 120

(L-15) (L +8 )

so L = 15  inches

and W = 15-7 = 8 inches

check your answer: does 15*8 = 120? yes!

6 0
3 years ago
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